Search a number
-
+
103734 = 23317113
BaseRepresentation
bin11001010100110110
312021022000
4121110312
511304414
62120130
7611301
oct312466
9167260
10103734
1170a34
1250046
13382a7
1429b38
1520b09
hex19536

103734 has 32 divisors (see below), whose sum is σ = 246240. Its totient is φ = 32256.

The previous prime is 103723. The next prime is 103769. The reversal of 103734 is 437301.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

103734 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 862 + ... + 974.

It is an arithmetic number, because the mean of its divisors is an integer number (7695).

2103734 is an apocalyptic number.

103734 is the 204-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123120).

103734 is an abundant number, since it is smaller than the sum of its proper divisors (142506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103734 is a wasteful number, since it uses less digits than its factorization.

103734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 103734 is about 322.0776303937. The cubic root of 103734 is about 46.9865662527.

The spelling of 103734 in words is "one hundred three thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 113 153 226 306 339 459 678 918 1017 1921 2034 3051 3842 5763 6102 11526 17289 34578 51867 103734